Topological simplifications for mechanical vibration analysis

TL;DRAbstract

A theoretical method for representing the physical characteristics of a portion of a mechanical piping system in terms of a stiffness matrix involving only those joints at which the sub-system is connected into the overall system is presented herein. The use of this method in reducing the size of the matrices that are needed for finding the normal vibration frequencies of a piping system is discussed, and an outline for a digital computer program to use this method is presented.

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